33406088040000 has 2625 divisors, whose sum is σ = 141481431923667. Its totient is φ = 7790245632000.

The previous prime is 33406088039977. The next prime is 33406088040023. The reversal of 33406088040000 is 4088060433.

The square root of 33406088040000 is 5779800.

It is a perfect power (a square), and thus also a powerful number.

33406088040000 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 608 + 8 + 0 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (33406088039977) and next prime (33406088040023).

It can be written as a sum of positive squares in 12 ways, for example, as 7841657687616 + 25564430352384 = 2800296^2 + 5056128^2 .

It is a super-2 number, since 2×33406088040000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 1758215159991 + ... + 1758215160009.

Almost surely, 2^{33406088040000} is an apocalyptic number.

33406088040000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33406088040000 is the 5779800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33406088040000

33406088040000 is an abundant number, since it is smaller than the sum of its proper divisors (108075343883667).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33406088040000 is an frugal number, since it uses more digits than its factorization.

33406088040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

33406088040000 divided by its sum of digits (36) gives a square (927946890000 = 963300²).

The spelling of 33406088040000 in words is "thirty-three trillion, four hundred six billion, eighty-eight million, forty thousand".